138 citations · 205 across the 17 of their papers we have counts for
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math.PR2018
Perturbation bounds for eigenspaces under a relative gap condition
Moritz Jirak, Martin Wahl
A basic problem in operator theory is to estimate how a small perturbation effects the eigenspaces of a self-adjoint compact operator. In this paper, we prove upper bounds for the…
math.PR2018
Relative perturbation bounds with applications to empirical covariance operators
Moritz Jirak, Martin Wahl
The goal of this paper is to establish relative perturbation bounds, tailored for empirical covariance operators. Our main results are expansions for empirical eigenvalues and spec…